Problem 2.1 Walking to the Yogurt Shop Zoe Donohue, Math 7B May 11, 2011
Time (sec)
Terry
(m)
Jade
(m)
Jerome
(m)
0
0
0
0
1
1
2
2.5
2
2
4
5
3
3
6
7.5
4
4
8
10
5
5
10
12.5
10
10
20
25
20
20
40
50
30
30
60
75
40
20
80
100
50
50
100
125
60
60
120
150
A. If Terry, Jade, and Jerome leave school together and walk toward the frozen yogurt shop at the rates given in the table, how far apart will they be after one minute?
Terry will be at 60 meters after one minute, Jade will be at 120 meters after one minute, and Jerome will be at 150 meters after one minute. There are 60 meters between Terry and Jade, 30 meters between Jade and Jerome, and finally, 90 meters between Jerome and Terry. B. If the yogurt shop is 750 from school, how long will it take each student to walk there?
Terry will take 750 seconds (12.5 minutes) to get to the yogurt shop. Jade will take 375 seconds (6.15 minutes) to get to the yogurt shop. Jerome will take 300 seconds (5 minutes) to get to the yogurt shop from school. C. When Jerome arrives at the yogurt shop, how far away will Terry be?
Terry will be 450 meters apart when Jerome arrives at the yogurt shop. Follow Up: 2.1 1. In problem 2.1, what strategies did you use to get your answers?
I used Unit rates, and linear relationships. 2. Does Problem 2.1 involve linear relationship? Explain why or why not.
Yes, it did involve linear relationships because the interval between the numbers had a unit rate and could be formed into a straight line.
(m)
(m)
(m)
A. If Terry, Jade, and Jerome leave school together and walk toward the frozen yogurt shop at the rates given in the table, how far apart will they be after one minute?
Terry will be at 60 meters after one minute, Jade will be at 120 meters after one minute, and Jerome will be at 150 meters after one minute. There are 60 meters between Terry and Jade, 30 meters between Jade and Jerome, and finally, 90 meters between Jerome and Terry.
B. If the yogurt shop is 750 from school, how long will it take each student to walk there?
Terry will take 750 seconds (12.5 minutes) to get to the yogurt shop. Jade will take 375 seconds (6.15 minutes) to get to the yogurt shop. Jerome will take 300 seconds (5 minutes) to get to the yogurt shop from school.
C. When Jerome arrives at the yogurt shop, how far away will Terry be?
Terry will be 450 meters apart when Jerome arrives at the yogurt shop.
1. In problem 2.1, what strategies did you use to get your answers?
I used Unit rates, and linear relationships.
2. Does Problem 2.1 involve linear relationship? Explain why or why not.
Yes, it did involve linear relationships because the interval between the numbers had a unit rate and could be formed into a straight line.